Convergence Edge 8: Scale Invariance ↔ Networks
C10 (Scale Invariance) recurs-with C11 (Networks)
Shared pattern: No characteristic scale; power-law degree distributions in networks are fractal structure in connectivity; the same mathematical form (P(x) ~ x^(-α)) describes both
Domain distance: Mathematics/Physics → Sociology/Computer science (medium-large)
Derivation independence: HIGH. Mandelbrot (mathematics, 1982) formalized fractals. Barabasi (physics, 1999) found scale-free networks via preferential attachment. Watts-Strogatz (sociology/applied math, 1998) found small-world structure. The power-law in network degree distribution IS a fractal in network space — same mathematics, different objects.
Convergence strength (1–10): 8
Note: The edge is almost definitional: a scale-free network is a fractal graph. But the independence lies in the derivations — fractals came from studying coastlines and noise; scale-free networks came from studying the web and social ties.
---
Corpus map
- C10 (Scale Invariance): C10 in the Encyclopedia · C10 in the Catalogue
- C11 (Networks): C11 in the Encyclopedia · C11 in the Catalogue
- Convergence edges: 1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10
- Catalogue hub: Convergence Catalogue — Public Article · The Schema